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Creating / Re-creating the X,Y,Z mesh Surface function with the (u,v) options using python in Blender 2.8x

Does an example exist / anyone have an example of how to reproduce the X,Y,Z mesh Surface functions / ad-don with (u,v) options. Just using python and Blender 2.8x?

I'm trying to do some animation with it using python but I can't find a way to get just those particular functions I would need.

This is the functions i'm talking about. Image

I'm referring to the arrows and highlighted sections below when referring to (u,v) options (They are connected mathematically)

UV image

Rick T
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